"complementary function" meaning in English

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        "For a nonhomogeneous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=g(x), the general solution of the associated homogenous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=0."
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          "nonhomogeneous"
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          "linear",
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          "differential equation",
          "differential equation"
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        "(mathematics) For a nonhomogeneous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=g(x), the general solution of the associated homogenous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=0."
      ],
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        {
          "word": "particular integral"
        }
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      "translations": [
        {
          "code": "ca",
          "lang": "Catalan",
          "sense": "complementary function",
          "tags": [
            "feminine"
          ],
          "word": "funció complementària"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "complementary function",
          "tags": [
            "feminine"
          ],
          "word": "fonction complémentaire"
        },
        {
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          "sense": "complementary function",
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            "feminine"
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          "word": "solution complémentaire"
        },
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          "lang": "French",
          "sense": "complementary function",
          "tags": [
            "feminine"
          ],
          "word": "solution générale de l'équation homogène correspondante"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "complementary function",
          "tags": [
            "feminine"
          ],
          "word": "funzione complementare"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "complementary function",
          "tags": [
            "feminine"
          ],
          "word": "função complementar"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "complementary function",
          "tags": [
            "feminine"
          ],
          "word": "función complementaria"
        }
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  "word": "complementary function"
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        "For a nonhomogeneous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=g(x), the general solution of the associated homogenous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=0."
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        "(mathematics) For a nonhomogeneous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=g(x), the general solution of the associated homogenous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=0."
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  "translations": [
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "complementary function",
      "tags": [
        "feminine"
      ],
      "word": "funció complementària"
    },
    {
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      "sense": "complementary function",
      "tags": [
        "feminine"
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      "word": "fonction complémentaire"
    },
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      "sense": "complementary function",
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        "feminine"
      ],
      "word": "solution complémentaire"
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      "lang": "French",
      "sense": "complementary function",
      "tags": [
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    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "complementary function",
      "tags": [
        "feminine"
      ],
      "word": "funzione complementare"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "complementary function",
      "tags": [
        "feminine"
      ],
      "word": "função complementar"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "complementary function",
      "tags": [
        "feminine"
      ],
      "word": "función complementaria"
    }
  ],
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}